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Simplify. 7 +3r-4 x+4 1 where x +4 O B. X-4 C. X-1, where x +1 0 D. X-1; where x # -4

Simplify. 7 +3r-4 x+4 1 where x +4 O B. X-4 C. X-1, where x +1 0 D. X-1; where x # -4-example-1

1 Answer

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we have the expression


(x^2+3x-4)/(x+4)

Remember that

The denominator can not be equal to zero

so

The value of x in the domain can not be equal to -4

we have that


x^2+3x-4=(x+4)(x-1)

substitute


(x^2+3x-4)/(x+4)=((x+4)(x-1))/((x+4))=x-1

answer is option D

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